The Artificial Compression Method for Computation of Shocks and Contact Discontinuities. III. Self-Adjusting Hybrid Schemes.
Abstract
This paper presents a new computational method for the calculation of discontinuous solutions of hyperbolic systems of conservation laws, and in particular contact discontinuities. The method consists of two stages; in the first stage a standard finite difference scheme is hybridized with a nonoscillatory first order method to allow a monotonic transition of discontinuities; in the second stage artificial compression is applied to sharpen transitions of discontinuities. This modification of a standard finite difference method results in a scheme which preserves the order of truncation error of the original method and yet yields a sharp and oscillation free transition of both shocks and contact discontinuities. The modification can be easily implemented in existing computer codes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1977
- Accession Number
- ADA040141
Entities
People
- Amiram Harten
Organizations
- New York University